A class of monotone decreasing rearrangements

Monotone Decreasing Quantifiers in a Scope-Free Logical Form

In Hobbs (1983) (henceforth, ITQ) and Hobbs (1985) (OP) I developed the outlines of an approach to semantic representation in which the logical form of an English sentence is a flat (i.e., scope-free) conjunction of existentially quantified, positive literals, with roughly one literal per morpheme. In this representation scheme the logical form of a sentence is vague with respect to quantifier-...

On the Fourier transform of the symmetric decreasing rearrangements

A Class of nonlinear $(A,eta)$-monotone operator inclusion problems with iterative algorithm and fixed point theory

A new class of nonlinear set-valued variationalinclusions involving $(A,eta)$-monotone mappings in a Banachspace setting is introduced, and then based on the generalizedresolvent operator technique associated with$(A,eta)$-monotonicity, the existence and approximationsolvability of solutions using an iterative algorithm and fixedpint theory is investigated.

Set Sequences and Monotone Class

In this paper we first defined the partial-union sequence, the partial-intersection sequence, and the partial-difference-union sequence of given sequence of subsets, and then proved the additive theorem of infinite sequences and sub-additive theorem of finite sequences for probability. Further, we defined the monotone class of families of subsets, and discussed the relations between the monoton...

A Distinct Class of Genome Rearrangements Driven by Heterologous Recombination

Erroneous DNA repair by heterologous recombination (Ht-REC) is a potential threat to genome stability, but evidence supporting its prevalence is lacking. Here we demonstrate that recombination is possible between heterologous sequences and that it is a source of chromosomal alterations in mitotic and meiotic cells. Mechanistically, we find that the RTEL1 and HIM-6/BLM helicases and the BRCA1 ho...